Thursday

January 19, 2017
Posted by **brenda** on Thursday, October 8, 2009 at 8:13pm.

4^2

he wants 2^4

Is there a simple way to figure it out? for example, i'm trying to figure out 10^4.

- 7th grade math -
**Anonymous**, Thursday, October 8, 2009 at 8:40pmPrime factorization just means breaking any number into prime numbers.

10^4= 10,000. The easiest method is to just divide this number my prime numbers until it can't be divided any further. It's a good idea to start dividing with the smallest primes, like 2.

10,000/2=5,000

5,000/2=2,500

2,500/2=1,250

1,250/2=625

-Alright once we divided by 2, the smallest prime, 4 times, we can no longer continue dividing by 2, so we move onto larger primes. 3 does not divide evenly into 625, but 5 does.

625/5=125

125/5=25

25/5=5

5/5=1

-Ok, we can stop now because no prime we try will divide evenly into 1.

So we divided by 4 four times, and divided by 5 four times. Basically:

2*2*2*2*5*5*5*5=10^4 (10,000)

do

2^4*5^4=10^4

So the prime factorization is: (2^4)*(5^4)